Dense Dirac combs in Euclidean space with pure point diffraction

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dc.creatorRichard, Christoph
dc.date2003-02-21
dc.date2004-05-19
dc.date.accessioned2026-07-07T09:58:45Z
dc.date.available2026-07-07T09:58:45Z
dc.descriptionRegular model sets, describing the point positions of ideal quasicrystallographic tilings, are mathematical models of quasicrystals. An important result in mathematical diffraction theory of regular model sets, which are defined on locally compact Abelian groups, is the pure pointedness of the diffraction spectrum. We derive an extension of this result, valid for dense point sets in Euclidean space, which is motivated by the study of quasicrystallographic random tilings.
dc.description18 pages. v2: final version as published
dc.identifierhttps://arxiv.org/abs/math-ph/0302049
dc.identifierhttp://arxiv.org/abs/math-ph/0302049
dc.identifierJ. Math. Phys. 44 (2003), 4436-4449
dc.identifierdoi:10.1063/1.1609032
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167829
dc.subjectMathematical Physics
dc.subject52C23; 82B20;78A45;43A25
dc.titleDense Dirac combs in Euclidean space with pure point diffraction
dc.typetext

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